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9. find the area of a circle with a diameter of 56 millimeters. 10. fin…

Question

  1. find the area of a circle with a diameter of 56 millimeters.
  2. find the area of a circle with a radius of 5 feet.
  3. tortilla the diameter of a flour tortilla is 12 inches. what is the area?
  4. lighthouse the hillsboro inlet lighthouse lights up how much more area than the jupiter inlet lighthouse?

Explanation:

Step1: Find radius for Q9

Radius $r = \frac{56}{2} = 28$ mm

Step2: Calculate area for Q9

Area $A_9 = \pi r^2 = \pi (28)^2 = 784\pi \approx 2463.01$ mm²

Step3: Calculate area for Q10

Area $A_{10} = \pi (5)^2 = 25\pi \approx 78.54$ ft²

Step4: Find radius for Q11

Radius $r = \frac{12}{2} = 6$ inches

Step5: Calculate area for Q11

Area $A_{11} = \pi (6)^2 = 36\pi \approx 113.10$ in²

Step6: Calculate areas for lighthouses

Jupiter: $A_J = \pi (18)^2 = 324\pi$ mi²; Hillsboro: $A_H = \pi (28)^2 = 784\pi$ mi²

Step7: Find area difference for Q12

Difference $= 784\pi - 324\pi = 460\pi \approx 1445.13$ mi²

Answer:

  1. $784\pi$ square millimeters (or approximately 2463.01 square millimeters)
  2. $25\pi$ square feet (or approximately 78.54 square feet)
  3. $36\pi$ square inches (or approximately 113.10 square inches)
  4. $460\pi$ square miles (or approximately 1445.13 square miles)